5 x + 4 2 x - 5 = 0 Which of the following is a solution to the given

Question

5 x + 4 2 x - 5 = 0 Which of the following is a solution to the given equation?

Accepted Answer

Choice C is correct. Since a product of two factors is equal to 0 if and only if at least one of the factors is 0 , either 5 x + 4 = 0 or 2 x - 5 = 0 . Subtracting 4 from each side of the equation 5 x + 4 = 0 yields 5 x = - 4 . Dividing each side of this equation by 5 yields x = - 4 5 . Adding 5 to each side of the equation 2 x - 5 = 0 yields 2 x = 5 . Dividing each side of this equation by 2 yields x = 5 2 . It follows that the solutions to the given equation are - 4 5 and 5 2 . Therefore, - 4 5 is a solution to the given equation. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

Question 5-x-4-